Related papers: Some bijections on set partitions
This paper has been withdrawn due to disagreement of suggested results and methods between authors.
We present a simple bijection between permutation matrices and descending plane partitions without special parts. This bijection is already mentioned in work of P. Lalonde (without giving the details); it involves the inversion words of…
This paper has been withdrawn by the author due to a crucial error in Lemma 3.5.
This paper has been withdrawn by the authors, due an error in Bethe Ansatz equations (16).
We prove the complete intersection theorem and complete nontrivial-intersection theorem for systems of set partitions
This paper is withdrawn due to unclearness of some notions on which the material is based.
This paper has being withdrawn by the authors due to an error in the conclusion.
This paper has been withdrawn by the author, due an error in claim 1.
Asaf Karagila pointed out that Remark 3.4 [1], directly contradicts Theorem 3.3 (c) [2] which was incorrectly stated. This note contains a proof of this remark. [1] Miller, Arnold W.; A Dedekind Finite Borel Set, Arch. Math. Logic 50…
Withdrawn by the authors due to submitting policy required by some journals.
We find bijections on 2-distant noncrossing partitions, 12312-avoiding partitions, 3-Motzkin paths, UH-free Schr{\"o}der paths and Schr{\"o}der paths without peaks at even height. We also give a direct bijection between 2-distant…
The paper is withdrawn due to mistakes in the proofs for Proposition 1.2 and Theorem 2.2.
This article has been withdrawn due to a mistake which is explained in version 2.
This paper has been withdrawn by the authors due to an error in Section 7.
This paper has been withdrawn by the author due to a crucial error in last part of proof.
This paper has been withdrawn by the author due to a crucial error.
This paper has been withdrawn by the author(s), due a mistake of factor 1/2.
This manuscript has been removed duo to incorrect contents.
This paper has been withdrawn by the authors because M. Aschenbrenner pointed out that the proof of theorem 3.1 was incorrect.
This paper has been withdrawn by the author, due a critical mistake on page 3.